Finding the Third Proportional to 116,516.25 and 254,830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,516.25 : 254,830.50 = 254,830.50 : x
2. Step 2: Convert to fraction form
   116,516.25/254,830.50 = 254,830.50/x
3. Step 3: Cross multiply
   116,516.25x = 254,830.50 × 254,830.50
4. Step 4: Simplify right side
   116,516.25x = 64,938,583,730.25
5. Step 5: Solve for x
   x = 64,938,583,730.25/116,516.25
6. Step 6: Final answer
   x = 557,335.00